Temperature

Stage: 3 Challenge Level:

Temperature is often measured in degrees Celsius,$^\circ C$, or degrees Fahrenheit,$^\circ F$.
The freezing point of water is $0^\circ$C and $32^\circ$F.
The boiling point of water is $100^\circ$C and $212^\circ$F.

Is there a temperature at which Celsius and Fahrenheit readings are the same?

Can you describe a way of converting Fahrenheit readings into Celsius?

Can you describe a way of converting Celsius readings into Fahrenheit?

An extension challenge:

Scientists often use the Kelvin scale of temperature, where the freezing point of water is $273.15^\circ K$ and the boiling point of water is $373.15^\circ K$.

Is there a temperature at which Kelvin and Fahrenheit readings are the same?
Is there a temperature at which Kelvin and Celsius readings are the same?

Can you describe ways of converting Kelvin readings into Fahrenheit and Celsius readings?

The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the
NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to
embed rich mathematical tasks into everyday classroom practice. More information on many of our other activities
can be found here.